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Finding the Fourth Proportional to 495,699.76, 684,069.84 and 269,345.28

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Solution

The fourth proportional to 495,699.76, 684,069.84 and 269,345.28 is: 371,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,699.76 : 684,069.84 = 269,345.28 : x
  2. Step 2: Convert to fraction form
    495,699.76/684,069.84 = 269,345.28/x
  3. Step 3: Cross multiply
    495,699.76x = 684,069.84 × 269,345.28
  4. Step 4: Simplify right side
    495,699.76x = 184,250,982,594.36
  5. Step 5: Solve for x
    x = 184,250,982,594.36/495,699.76
  6. Step 6: Final answer
    x = 371,698.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.